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34411221 = 3213377949
BaseRepresentation
bin1000001101000…
…1001011010101
32101202021022200
42003101023111
532302124341
63225315113
7565330155
oct203211325
971667280
1034411221
1118473729
12b635a99
13718aa90
1447da765
15304adb6
hex20d12d5

34411221 has 24 divisors (see below), whose sum is σ = 54982200. Its totient is φ = 20601216.

The previous prime is 34411207. The next prime is 34411229. The reversal of 34411221 is 12211443.

34411221 is a `hidden beast` number, since 3 + 441 + 1 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5574321 + 28836900 = 2361^2 + 5370^2 .

It is not a de Polignac number, because 34411221 - 25 = 34411189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34411194 and 34411203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34411229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355 + ... + 8303.

It is an arithmetic number, because the mean of its divisors is an integer number (2290925).

Almost surely, 234411221 is an apocalyptic number.

It is an amenable number.

34411221 is a deficient number, since it is larger than the sum of its proper divisors (20570979).

34411221 is a wasteful number, since it uses less digits than its factorization.

34411221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8005 (or 8002 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 34411221 is about 5866.1078237619. The cubic root of 34411221 is about 325.2620245887.

Adding to 34411221 its reverse (12211443), we get a palindrome (46622664).

The spelling of 34411221 in words is "thirty-four million, four hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 13 37 39 111 117 333 481 1443 4329 7949 23847 71541 103337 294113 310011 882339 930033 2647017 3823469 11470407 34411221